Algebraic Aspects of Integrable Systems

Inhaltsverzeichnis

• Complex Billiard Hamiltonian Systems and Nonlinear Waves.
• Automorphic Pseudodifferential Operators.
• On ?-Functions of Zakharov-Shabat and Other Matrix Hierarchies of Integrable Equations.
• On the Hamiltonian Representation of the Associativity Equations.
• A Plethora of Integrable Bi-Hamiltonian Equations.
• Hamiltonian Structures in Stationary Manifold Coordinates.
• Compatibility in Abstract Algebraic Structures.
• A Theorem of Bochner, Revisited.
• Obstacles to Asymptotic Integrability.
• Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0.
• Trace Formulas and the Canonical 1-Form.
• On Some “Schwarzian” Equations and their Discrete Analogues.
• Poisson Brackets for Integrable Lattice Systems.
• On the r-Matrix Structure of the Neumann Systems and its Discretizations.
• Multiscale Expansions, Symmetries and the Nonlinear Schrödinger Hierarchy.
• On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations.
• Classical and Quantum Nonultralocal Systems on the Lattice.